time-to-botec/squiggle/node_modules/@stdlib/math/strided/special/drsqrt/README.md

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# drsqrt
> Compute the [reciprocal square root][@stdlib/math/base/special/rsqrt] for each element in a double-precision floating-point strided array.
<section class="intro">
</section>
<!-- /.intro -->
<section class="usage">
## Usage
```javascript
var drsqrt = require( '@stdlib/math/strided/special/drsqrt' );
```
#### drsqrt( N, x, strideX, y, strideY )
Computes the [reciprocal square root][@stdlib/math/base/special/rsqrt] for each element in a double-precision floating-point strided array `x` and assigns the results to elements in a double-precision floating-point strided array `y`.
```javascript
var Float64Array = require( '@stdlib/array/float64' );
var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0 ] );
// Perform operation in-place:
drsqrt( x.length, x, 1, x, 1 );
// x => <Float64Array>[ Infinity, 0.5, ~0.333, ~0.289, ~0.204 ]
```
The function accepts the following arguments:
- **N**: number of indexed elements.
- **x**: input [`Float64Array`][@stdlib/array/float64].
- **strideX**: index increment for `x`.
- **y**: output [`Float64Array`][@stdlib/array/float64].
- **strideY**: index increment for `y`.
The `N` and `stride` parameters determine which elements in `x` and `y` are accessed at runtime. For example, to index every other value in `x` and to index the first `N` elements of `y` in reverse order,
```javascript
var Float64Array = require( '@stdlib/array/float64' );
var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
drsqrt( 3, x, 2, y, -1 );
// y => <Float64Array>[ ~0.204, ~0.333, Infinity, 0.0, 0.0, 0.0 ]
```
Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][@stdlib/array/float64] views.
```javascript
var Float64Array = require( '@stdlib/array/float64' );
// Initial arrays...
var x0 = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
var y0 = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
// Create offset views...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element
drsqrt( 3, x1, -2, y1, 1 );
// y0 => <Float64Array>[ 0.0, 0.0, 0.0, 0.125, ~0.289, 0.5 ]
```
#### drsqrt.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )
Computes the [reciprocal square root][@stdlib/math/base/special/rsqrt] for each element in a double-precision floating-point strided array `x` and assigns the results to elements in a double-precision floating-point strided array `y` using alternative indexing semantics.
```javascript
var Float64Array = require( '@stdlib/array/float64' );
var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] );
drsqrt.ndarray( x.length, x, 1, 0, y, 1, 0 );
// y => <Float64Array>[ Infinity, 0.5, ~0.333, ~0.289, ~0.204 ]
```
The function accepts the following additional arguments:
- **offsetX**: starting index for `x`.
- **offsetY**: starting index for `y`.
While [`typed array`][@stdlib/array/float64] views mandate a view offset based on the underlying `buffer`, the `offsetX` and `offsetY` parameters support indexing semantics based on starting indices. For example, to index every other value in `x` starting from the second value and to index the last `N` elements in `y`,
```javascript
var Float64Array = require( '@stdlib/array/float64' );
var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
drsqrt.ndarray( 3, x, 2, 1, y, -1, y.length-1 );
// y => <Float64Array>[ 0.0, 0.0, 0.0, 0.125, ~0.289, 0.5 ]
```
</section>
<!-- /.usage -->
<section class="notes">
</section>
<!-- /.notes -->
<section class="examples">
## Examples
<!-- eslint no-undef: "error" -->
```javascript
var uniform = require( '@stdlib/random/base/uniform' );
var Float64Array = require( '@stdlib/array/float64' );
var drsqrt = require( '@stdlib/math/strided/special/drsqrt' );
var x = new Float64Array( 10 );
var y = new Float64Array( 10 );
var i;
for ( i = 0; i < x.length; i++ ) {
x[ i ] = uniform( 0.0, 200.0 );
}
console.log( x );
console.log( y );
drsqrt.ndarray( x.length, x, 1, 0, y, -1, y.length-1 );
console.log( y );
```
</section>
<!-- /.examples -->
<!-- C interface documentation. -->
* * *
<section class="c">
## C APIs
<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
<section class="intro">
</section>
<!-- /.intro -->
<!-- C usage documentation. -->
<section class="usage">
### Usage
```c
#include "stdlib/math/strided/special/drsqrt.h"
```
#### stdlib_strided_drsqrt( N, \*X, strideX, \*Y, strideY )
Computes the reciprocal square root for each element in a double-precision floating-point strided array `X` and assigns the results to elements in a double-precision floating-point strided array `Y`.
```c
#include <stdint.h>
double X[] = { 0.0, 4.0, 9.0, 12.0, 24.0, 64.0, 81.0, 101.0 };
double Y[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
int64_t N = 4;
stdlib_strided_drsqrt( N, X, 2, Y, 2 );
```
The function accepts the following arguments:
- **N**: `[in] int64_t` number of indexed elements.
- **X**: `[in] double*` input array.
- **strideX**: `[in] int64_t` index increment for `X`.
- **Y**: `[out] double*` output array.
- **strideY**: `[in] int64_t` index increment for `Y`.
```c
void stdlib_strided_drsqrt( const int64_t N, const double *X, const int64_t strideX, double *Y, const int64_t strideY );
```
</section>
<!-- /.usage -->
<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
<section class="notes">
</section>
<!-- /.notes -->
<!-- C API usage examples. -->
<section class="examples">
### Examples
```c
#include "stdlib/math/strided/special/drsqrt.h"
#include <stdint.h>
#include <stdio.h>
int main() {
// Create an input strided array:
double X[] = { 0.0, 4.0, 9.0, 12.0, 24.0, 64.0, 81.0, 101.0 };
// Create an output strided array:
double Y[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
// Specify the number of elements:
int64_t N = 4;
// Specify the stride lengths:
int64_t strideX = 2;
int64_t strideY = 2;
// Compute the results:
stdlib_strided_drsqrt( N, X, strideX, Y, strideY );
// Print the results:
for ( int i = 0; i < 8; i++ ) {
printf( "Y[ %i ] = %lf\n", i, Y[ i ] );
}
}
```
</section>
<!-- /.examples -->
</section>
<!-- /.c -->
<section class="links">
[@stdlib/array/float64]: https://www.npmjs.com/package/@stdlib/array-float64
[@stdlib/math/base/special/rsqrt]: https://www.npmjs.com/package/@stdlib/math/tree/main/base/special/rsqrt
</section>
<!-- /.links -->